Current trends and open problems in arithmetic dynamics R Benedetto, P Ingram, R Jones, M Manes, J Silverman, T Tucker Bulletin of the American Mathematical Society 56 (4), 611-685, 2019 | 60 | 2019 |
Revealing the faces of abstraction P Frorer, M Manes, O Hazzan International Journal of Computers for Mathematical Learning 2, 217-228, 1997 | 48 | 1997 |
Galois theory of quadratic rational functions R Jones, M Manes Commentarii Mathematici Helvetici 89 (1), 173-213, 2014 | 44 | 2014 |
ℚ‐rational cycles for degree‐2 rational maps having an automorphism M Manes Proceedings of the London Mathematical Society 96 (3), 669-696, 2008 | 34 | 2008 |
Uniform bounds on pre-images under quadratic dynamical systems X Faber, B Hutz, P Ingram, R Jones, M Manes, TJ Tucker, ME Zieve arXiv preprint arXiv:0805.0441, 2008 | 24 | 2008 |
Bad reduction of genus three curves with complex multiplication I Bouw, J Cooley, K Lauter, EL García, M Manes, R Newton, E Ozman Women in numbers Europe 2, 109-151, 2015 | 21 | 2015 |
A census of quadratic post-critically finite rational functions defined over D Lukas, M Manes, D Yap LMS Journal of Computation and Mathematics 17 (A), 314-329, 2014 | 19 | 2014 |
Moduli spaces for families of rational maps on P1 M Manes Journal of Number Theory 129 (7), 1623-1663, 2009 | 19 | 2009 |
Arboreal representations for rational maps with few critical points J Juul, H Krieger, N Looper, M Manes, B Thompson, L Walton Research Directions in Number Theory: Women in Numbers IV, 133-151, 2019 | 16 | 2019 |
Dynamical belyi maps J Anderson, II Bouw, O Ejder, N Girgin, V Karemaker, M Manes Women in Numbers Europe II: Contributions to Number Theory and Arithmetic …, 2018 | 16 | 2018 |
Finite ramification for preimage fields of postcritically finite morphisms A Bridy, P Ingram, R Jones, J Juul, A Levy, M Manes, ... arXiv preprint arXiv:1511.00194, 2015 | 16 | 2015 |
Uniform bounds for preperiodic points in families of twists A Levy, M Manes, B Thompson Proceedings of the American Mathematical Society 142 (9), 3075-3088, 2014 | 14 | 2014 |
Insufficiency of the Brauer–Manin obstruction for rational points on Enriques surfaces F Balestrieri, J Berg, M Manes, J Park, B Viray Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, 1-31, 2016 | 13 | 2016 |
Mahler measure of some singular K3-surfaces MJ Bertin, A Feaver, J Fuselier, M Lalın, M Manes Women in, 149-169, 2013 | 12 | 2013 |
Computing conjugating sets and automorphism groups of rational functions X Faber, M Manes, B Viray Journal of Algebra 423, 1161-1190, 2015 | 11 | 2015 |
Explicit Descriptions of Quadratic Maps on $\pp^ 1$ defined over a field $ K$ M Manes, Y Yasufuku arXiv preprint arXiv:1004.2713, 2010 | 11 | 2010 |
Dilatation anevrysmale congenitale de l'auricule gauche N Salonikides, P Tsakonas, N Gazetopoulos, S Katsonis, M Manes Acta Cardiol 25 (2), 188-196, 1970 | 11 | 1970 |
Periodic points in towers of finite fields for polynomials associated to algebraic groups M Manes, B Thompson arXiv preprint arXiv:1301.6158, 2013 | 10* | 2013 |
Arithmetic dynamics of rational maps M Manes Dissertation Abstracts International 68 (07), 2007 | 10 | 2007 |
Cubic post-critically finite polynomials defined over ℚ J Anderson, M Manes, B Tobin Open Book Series 4 (1), 23-38, 2020 | 8 | 2020 |